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Problem Seed: This problem requires a browser capable of running Java.

This problem illustrates how you can Java applets in a WeBWorK example.

This polar coordinate grapher was constructed at the Mathematics Department of The Johns Hopkins University and the applet is being served from their computer.

WeBWorK can use existing JavaScript and Java code to augment its capabilities.

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For what value of $k$ does the graph of $r = \cos(kt)$ look like a rose with 3 petals?
$k =$ ;